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OPTIMIZATION METHODS MID-TERM EXAMINATION
1.將下列問題，列出其目標函數及限制條件
a. Transportation problem ( minimize transportation cost)
m plants, n warehouse
s i supply of ith plant , i=1……..m
d j demand of jth warehouse, j=1….n
c ij cost of transportation i→j
x ij number of unite to send i→j
b. Manufacturing (maximize profit)
products, m raw materials
c j.:profit of product j
b i :available units of material i
a i j :＃units of material i product j needs in order to be proced
x j :amount product j produced
c. Scheduling (Goal: hire minimum number of nurses)
Hospital wants to make weekly nightshift of its nurses
d j : demand for nurses each day, j =1,2…,7
Every nurse works 5days in a row
X j :＃nurses starting their work on day j |
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發表於 2010-11-2 20:47:35
